Continuous optimization by quantum adaptive distribution search
Abstract
In this paper, we introduce the quantum adaptive distribution search (QuADS), a quantum continuous optimization algorithm that integrates Grover adaptive search (GAS) with the covariance matrix adaptation - evolution strategy (CMA-ES), a classical technique for continuous optimization. QuADS utilizes the quantum-based search capabilities of GAS and enhances them with the principles of CMA-ES for more efficient optimization. It employs a multivariate normal distribution for the initial state of the quantum search and repeatedly updates it throughout the optimization process. Our numerical experiments show that QuADS outperforms both GAS and CMA-ES. This is achieved through adaptive refinement of the initial state distribution rather than consistently using a uniform state, resulting in fewer oracle calls. This study presents an important step toward exploiting the potential of quantum computing for continuous optimization.
Cite
@article{arxiv.2311.17353,
title = {Continuous optimization by quantum adaptive distribution search},
author = {Kohei Morimoto and Yusuke Takase and Kosuke Mitarai and Keisuke Fujii},
journal= {arXiv preprint arXiv:2311.17353},
year = {2024}
}